Fuzzy line bundles, the Chern character and topological charges over the fuzzy sphere

✍ Scribed by Harald Grosse; Christian W. Rupp; Alexander Strohmaier

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 95 KB
• Volume: 42
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(01)00072-9

✦ Synopsis

Using the theory of quantized equivariant vector bundles over compact coadjoint orbits we determine the Chern characters of all noncommutative line bundles over the fuzzy sphere with regard to its derivation-based differential calculus. The associated Chern numbers (topological charges) arise to be noninteger, in the commutative limit the well-known integer Chern numbers of the complex line bundles over the two-sphere are recovered.